matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind_gen_after.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "delayed_updating/unwind/unwind_gen.ma".
  16 include "ground/relocation/tr_compose_pap.ma".
  17
  18 (* GENERIC UNWIND FOR PATH **************************************************)
  19
  20 (* Properties with tr_compose ***********************************************)
  21
  22 lemma unwind_gen_after (f2) (f1) (p):
  23       ◆[f2]◆[f1]p = ◆[λn.(f2 ((f1 n)＠⧣❨n❩))∘(f1 n)]p.
  24 #f2 #f1 #p @(path_ind_unwind … p) -p //
  25 #n #_ <unwind_gen_d_empty <unwind_gen_d_empty //
  26 qed.